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Finding the Fourth Proportional to 2,260.25, 3,386.91 and 1,436

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Solution

The fourth proportional to 2,260.25, 3,386.91 and 1,436 is: 2,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.25 : 3,386.91 = 1,436 : x
  2. Step 2: Convert to fraction form
    2,260.25/3,386.91 = 1,436/x
  3. Step 3: Cross multiply
    2,260.25x = 3,386.91 × 1,436
  4. Step 4: Simplify right side
    2,260.25x = 4,863,602.76
  5. Step 5: Solve for x
    x = 4,863,602.76/2,260.25
  6. Step 6: Final answer
    x = 2,151.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.